257730413 has 2 divisors, whose sum is σ = 257730414. Its totient is φ = 257730412.

The previous prime is 257730397. The next prime is 257730437. The reversal of 257730413 is 314037752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134142724 + 123587689 = 11582^2 + 11117^2 .

It is a cyclic number.

It is not a de Polignac number, because 257730413 - 2⁴ = 257730397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257730413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257730313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128865206 + 128865207.

It is an arithmetic number, because the mean of its divisors is an integer number (128865207).

Almost surely, 2^257730413 is an apocalyptic number.

It is an amenable number.

257730413 is a deficient number, since it is larger than the sum of its proper divisors (1).

257730413 is an equidigital number, since it uses as much as digits as its factorization.

257730413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 257730413 is about 16053.9843341147. The cubic root of 257730413 is about 636.3878653131.

The spelling of 257730413 in words is "two hundred fifty-seven million, seven hundred thirty thousand, four hundred thirteen".